Not finding anything in the help or elsewhere via searches. I just noticed this as an option when creating a shortcut widget. Seems to work better when I have installed the SSH addon (makes sense). But I am not sure if this:

(a) locally executes a script that is stored on a remote machine

(b) executes a locally stored script on a remote machine

(c) execute a script that is stored on a remove machine on that machine

I am actually hoping for the latter.

Is there a way to do this and to avoid having to enter a password for SSH (basically store it somewhere)?

Well, after some fiddling around, these seem to simply open the file system on the remote machine. I don't see any way to remotely execute scripts. It seems like all the bits and pieces are there to permit it. Perhaps it will be added at some point? There are SSH clients out there already. But who needs them if this does the job? Cheers!